Upper prime of a record difference between it and the second prime before it.

Terms

a(0) =5a(1) =7a(2) =11a(3) =29a(4) =59a(5) =97a(6) =127a(7) =223a(8) =1151a(9) =1361a(10) =2203a(11) =2521a(12) =5639a(13) =9601a(14) =14143a(15) =19661a(16) =19681a(17) =31469a(18) =31477a(19) =38543a(20) =58889a(21) =156007a(22) =360769a(23) =370373a(24) =396871a(25) =1357333a(26) =1562051a(27) =4652507a(28) =8917663a(29) =20831533